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2 years ago

Which number line shows all the values of x that make the inequality -3x + 1 < 7 true

1 answer:

8 0

After solving the equation (work shown in image) your answer would be x > -2. I drew an image of how the number line should look at least similar to, using the solution.

*whenever you divide or multiply with a negative number reverse/flip the sign

< or > signs will always have an open circle

≥ or ≤ signs will have a closed/filled in circle

TIP: To know which way the arrow should point, look at the sign and think of it as an arrow.

< would have the arrow on the number point

this way: <-

or > which would have the arrow on the number line point this way: ->

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Old faithful in Yellowstone National Park shoots water 60 feet into the air that casts a shadow of 42 feet. What is the height o

Serhud [2]

Answer:

The height of near by tree will be 90 feet.

Step-by-step explanation:

Considering the water triangle as shown in figure a.

As the old faithful shoots water 60 feet into the air that casts a shadow of 42 feet.

Considering the tree triangle as shown in figure a. The tree triangle has a shadow 63 feet long.

Let x be the height of near by tree that cost a shadow 63 feet long.

Assuming that the triangles are similar

So,

the ratios of similar triangles will be related as:

$\frac{63}{42}=\frac{x}{60}$

$\mathrm{Switch\:sides}$

$\frac{x}{60}=\frac{63}{42}$

${x}=60.\frac{63}{42}$

$x=90$ feet

Therefore, the height of near by tree will be 90 feet.

Keywords: ratio, similar triangle

Learn more about similar triangle from brainly.com/question/10161974

#learnwithBrainly

7 0

3 years ago

Find the volume of the cylinder in terms of pi. Height 11m Radius 3.4m

Katen [24]

The volume is V=399.48 m to the power of three

5 0

3 years ago

Read 2 more answers

You’re going to use your TI-83 graphing calculator to compute the area between values of 7 and 9 for a distribution whose mean i

astraxan [27]

Answer: The answer is A

Step-by-step explanation: You use normalcdf to find the area under a curve. The lower bound (in this case 7) goes first followed by the upper bound, mean, and standard deviation.

8 0

3 years ago

Calculate the side lengths a and b to two decimal places. Will give five stars and brainliest to the first answer!!!!! Need help

garri49 [273]

Answer:

Using the Sine Rule , which states that

$\frac{a}{Sin A}=\frac{b}{Sin B}=\frac{c}{SinC}$

In Δ ABC

∠A +∠B+∠C=180°→→Angle Sum Property of Triangle

72°+85°+∠C=180°

∠C=180° - 157°

∠C= 23°

All the angles are in degrees.

$\frac{a}{Sin 72}=\frac{b}{Sin 85}=\frac{6.2}{Sin 23}$

Using the table of Sine, Calculating Sine Values

Sin 72°= 0.9510

Sin 85°=0.996

Sin 23°=0.390

$\frac{a}{0.951}=\frac{b}{0.996}=\frac{6.2}{0.390}\\\\ a=\frac{6.2 * 0.951}{0.390}= 15.118\\\\ b=\frac{6.2 * 0.996}{0.390}=15.833$

Among the five Options,

Option E: a= 15.09 and b=15.81 is approximately true.

7 0

3 years ago

Read 2 more answers

A closed box with a square base is to have a volume of 85. 75 cm^3. the material for the top and bottom of the box costs $3.00

tiny-mole [99]

We can create two equations here:

(1) Volume = area of square * height of box

85.75 = s^2 h

(2) Cost = 3 * area of square + 1.5 * area of side box

C = 3 s^2 + 1.5 s h

From (1), we get:

h = 85.75 / s^2

Combining this with (2):

C = 3 s^2 + 1.5 s (85.75 / s^2)

C = 3 s^2 + 128.625 s-

Taking the 1st derivative and equating dC/ds = 0:

dC/ds = 6s – 128.625 / s^2 = 0

Multiply all by s^2:

6s^3 – 128.625 = 0

6s^3 = 128.625

s = 2.78 cm

So h is:

h = 85.75 / s^2 = 85.75 / (2.78)^2

h = 11.10 cm

So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm

The total cost now is:

C = 3 (2.78)^2 + 1.5 (2.78) (11.10)

C = $69.47

8 0

3 years ago